Finding the Third Proportional to 215,826 and 469,458

Step by Step Solution

1. Step 1: Write the proportion equation
   215,826 : 469,458 = 469,458 : x
2. Step 2: Convert to fraction form
   215,826/469,458 = 469,458/x
3. Step 3: Cross multiply
   215,826x = 469,458 × 469,458
4. Step 4: Simplify right side
   215,826x = 220,390,813,764
5. Step 5: Solve for x
   x = 220,390,813,764/215,826
6. Step 6: Final answer
   x = 1,021,150.43